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Finding the Third Proportional to 4,325,202,636 and 6,700,306,833

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Solution

The third proportional to 4,325,202,636 and 6,700,306,833 is: 10,379,655,113.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,325,202,636 : 6,700,306,833 = 6,700,306,833 : x
  2. Step 2: Convert to fraction form
    4,325,202,636/6,700,306,833 = 6,700,306,833/x
  3. Step 3: Cross multiply
    4,325,202,636x = 6,700,306,833 × 6,700,306,833
  4. Step 4: Simplify right side
    4,325,202,636x = 44,894,111,656,346,492,928
  5. Step 5: Solve for x
    x = 44,894,111,656,346,492,928/4,325,202,636
  6. Step 6: Final answer
    x = 10,379,655,113.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.